How many shots you need for a "valid" group depends on what you want the answer to tell you.
It came up in a discussion the other day, about groups sizes, and one fellow claimed a seemingly impossibly small group size with any, and all of his rifles.
He was shooting one shot "groups".
I can see the sense in averaging group sizes, to get a rough estimate of what your rifle, ammo, and you can be expected to do.
I don't understand what good averaging the shots inside the group gets you.
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All else being equal (and it almost never is) bigger bullets tend to work better.
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